Testing nonclassicality with exact Wigner currents for an anharmonic quantum system

Alex E. Bernardini
Phys. Rev. A 98, 052128 – Published 26 November 2018

Abstract

Phase-space features of the Wigner flow for an anharmonic quantum system driven by the harmonic oscillator potential modified by the addition of an inverse square (one-dimensional Coulomb-like) contribution are analytically described in terms of Wigner functions and Wigner currents. Reporting about three correlated continuity equations which quantify the flux of quantum information in the phase space, the nonclassicality profile of such an anharmonic system can be consistently obtained in terms of the fluxes of probability, purity, and von Neumann–like entropy. Considering that quantum fluctuations can be identified from distortions over the classical regime, they can be quantified through the above-mentioned information fluxes whenever some classically bounded volume of the phase space is selected. Our results suggest that the Wigner flow approach works as a probe of quantumness and classicality for a large set of anharmonic quantum systems driven by quantum wells.

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  • Received 26 July 2018

DOI:https://doi.org/10.1103/PhysRevA.98.052128

©2018 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Alex E. Bernardini*

  • Departamento de Física, Universidade Federal de São Carlos, PO Box 676, 13565-905, São Carlos, SP, Brazil

  • *alexeb@ufscar.br

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Issue

Vol. 98, Iss. 5 — November 2018

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